Greatest Common Factor of 8129/750, 8660/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8129/750, 8660/402

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8129/750,8660/402

Given fractions are 8129/750,8660/402

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8129,8660

Greatest Common Factor of Numerators i.e. GCF of 8129,8660 is 1 .

LCM of Denominators means LCM of 750,402 as per the given fractions.

LCM of 750,402 is 50250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8129,8660

GCF of Fractions 8129/750,8660/402 is 1/50250

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8129,8660 By Matching Biggest Common Factor Method

Greatest Common Factor of 8129,8660 By Matching Biggest Common Factor Method

Factors of 8129

List of positive integer factors of 8129 that divides 8129 without a remainder.

1,11,739,8129

Factors of 8660

List of positive integer factors of 8660 that divides 8660 without a remainder.

1,2,4,5,10,20,433,866,1732,2165,4330,8660

Greatest Common Factor

We found the factors 8129,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 8129,8660 is 1.

Lets's calculate LCM of 750,402

2 750, 402
3 375, 201
125, 67

∴ So the LCM of the given numbers is 2 x 3 x 125 x 67 = 50250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50250

Therefore, the GCF of Fractions 8129/750,8660/402 is 1/50250

Least Common Multiple of 750,402 with GCF Formula

Least Common Multiple of 750,402 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 750,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,402) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(750,402) x common factors =6 x 1 = 6

LCM(750,402) = ( 750 × 402 ) / 6

LCM(750,402) = 301500 / 6

LCM(750,402) = 50250


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8129/750, 8660/402

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8129/750, 8660/402?

Answer: GCF of Numerators as per given numbers 8129/750, 8660/402 is

GCF of Numerators i.e. for 8129,8660 is 1

LCM of denominators i.e. for 750,402 is 50250.

Thus, GCF of Fractions is 1/50250.Finally, GCF of Fractions for 8129/750, 8660/402 is 1/50250.